Answer AND Step-by-step explanation:
1. x = 53° Supplementary Angles Theorem
2. x = 37° Complementary Angles Theorem
3. x = 45° Right angle = 90°, and 90 divided in half is 45, so 45 + 45 = 90
4. x = 180° Straight lines are 180 degrees.
5. x = 130° Vertical Angles Theorem
6. x = 90° Right Angle, and Vertical Angles Theorem
7. x = 15° Complementary Angles Theorem
8. x = 60° Supplementary Angles Theorem
9. x = 20° Complementary Angles Theorem
10. x = 140° Supplementary Angles Theorem
11. x = 47° Supplementary Angles Theorem
12. x = 18° Supplementary Angles Theorem
Supplementary Angles Theorem - two angles that are next to each other and add up to 180 degrees.
Complementary Angles Theorem - two angles that are next to each other and add up to 90 degrees.
Vertical Angles Theorem - Angles that are directly across from each other made by an intersection will have the same angle value.
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